Chapter 1.4, Problem 62STP

To determine

To find: The property used if $4x{y}^2=8y^2$ and $8y^2=72$ , then $4x{y}^2=72$ .

Answer to Problem 62STP

The property used if $4x{y}^2=8y^2$ and $8y^2=72$ , then $4x{y}^2=72$ is transitive property.

Explanation of Solution

Given information:

If $4x{y}^2=8y^2$ and $8y^2=72$ , then $4x{y}^2=72$ .

Calculation:

The transitive property of equality says that If $a=b$ and $b=c$ , then $a=c$ .

Therefore, the property used if $4x{y}^2=8y^2$ and $8y^2=72$ , then $4x{y}^2=72$ is transitive property.